Essentials of Algebra: For Secondary Schools |
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Common terms and phrases
a²b a²b² a³b ab² ab³ arithmetic means arithmetic progression ax² binomial Binomial Theorem cent change the sign Clearing of fractions coefficient cologarithm complete divisor cube root decimal digits Divide dividend divisor equal EXAMPLES exponent Extracting the square Find the H. C. F. Find the number Find the value following equations following rule geometric progression given equation given expression greater Hence highest common factor last term less mantissa miles an hour monomial Multiplying Note number of dollars number of terms partial fractions polynomial positive integer positive number proportion quadratic equation quotient radical sign ratio Reduce remainder result second term Solve the equation Solve the following square root Subtracting Transposing trial-divisor unknown quantities Whence x²y xy²
Popular passages
Page 272 - In any proportion, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Page 273 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 57 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Page 20 - From §§36 and 37, we have the following rule: To subtract one number from another, change the sign of the subtrahend, and add the result to the minuend.
Page 327 - The exponent of x in the second term is 1, in the third term 2, in the fourth term 3, etc.
Page 271 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = be.
Page 272 - In any proportion the terms are in proportion by Alternation ; that is, the first term is to the third as the second term is to the fourth.
Page 332 - If a number is not an exact power of 10, its common logarithm can only be expressed approximately ; the integral part of the logarithm is called the characteristic, and the decimal part the mantissa.
Page 130 - At what time between 6 and 6.30 o'clock are the hands of a watch at right angles to each other?
Page 9 - To add a positive and a negative number, subtract the less absolute value (§ 13) from the greater, and prefix to the result the sign of the number having the greater absolute value. To add two negative numbers, add their absolute values, and prefix a negative sign to the result.